%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SYN652-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n017.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 02:01:10 PM UTC 2026
% Result : Unsatisfiable 2.73s 1.16s
% Output : Refutation 2.73s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 9
% Syntax : Number of formulae : 19 ( 10 unt; 0 def)
% Number of atoms : 34 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 39 ( 24 ~; 15 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 15 ( 15 usr; 9 con; 0-2 aty)
% Number of variables : 23 ( 23 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f5,negated_conjecture,
! [X0] : p4(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p4_5) ).
fof(f14,negated_conjecture,
! [X0] : p14(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p14_14) ).
fof(f16,negated_conjecture,
p4(c34,f5(c35,c32)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p4_16) ).
fof(f17,negated_conjecture,
p27(f8(f10(c28,f13(c29,c30)),c32),c33),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p27_17) ).
fof(f18,negated_conjecture,
~ p4(f5(c31,c33),f15(f17(c36,c31),c34)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_p4_18) ).
fof(f23,negated_conjecture,
! [X2,X0,X1] :
( p4(X0,X1)
| ~ p4(X2,X0)
| ~ p4(X2,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p4_23) ).
fof(f34,negated_conjecture,
! [X0,X1] : p4(f15(f17(c36,X0),f5(c35,X1)),f5(X0,X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p4_34) ).
fof(f41,negated_conjecture,
! [X2,X3,X0,X1] :
( p4(f15(X0,X1),f15(X2,X3))
| ~ p14(X0,X2)
| ~ p4(X1,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p4_41) ).
fof(f46,negated_conjecture,
! [X0,X1] :
( ~ p27(f8(f10(c28,f13(c29,c30)),X0),X1)
| p4(f5(c31,X0),f5(c31,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p4_46) ).
fof(f48,plain,
! [X0] :
( ~ p4(X0,f15(f17(c36,c31),c34))
| ~ p4(X0,f5(c31,c33)) ),
inference(resolution,[],[f23,f18]) ).
fof(f50,plain,
! [X0,X1] :
( ~ p4(X1,f15(f17(c36,c31),c34))
| ~ p4(X1,X0)
| ~ p4(X0,f5(c31,c33)) ),
inference(resolution,[],[f48,f23]) ).
fof(f53,plain,
p4(f5(c31,c32),f5(c31,c33)),
inference(resolution,[],[f46,f17]) ).
fof(f57,plain,
! [X2,X0,X1] :
( ~ p14(X0,f17(c36,c31))
| ~ p4(X2,f5(c31,c33))
| ~ p4(f15(X0,X1),X2)
| ~ p4(X1,c34) ),
inference(resolution,[],[f50,f41]) ).
fof(f90,plain,
! [X0,X1] :
( ~ p4(f15(f17(c36,c31),X1),X0)
| ~ p4(X0,f5(c31,c33))
| ~ p4(X1,c34) ),
inference(resolution,[],[f57,f14]) ).
fof(f139,plain,
! [X0] :
( ~ p4(f5(c31,X0),f5(c31,c33))
| ~ p4(f5(c35,X0),c34) ),
inference(resolution,[],[f90,f34]) ).
fof(f144,plain,
~ p4(f5(c35,c32),c34),
inference(resolution,[],[f139,f53]) ).
fof(f156,plain,
! [X0] :
( ~ p4(X0,f5(c35,c32))
| ~ p4(X0,c34) ),
inference(resolution,[],[f144,f23]) ).
fof(f173,plain,
~ p4(c34,c34),
inference(resolution,[],[f156,f16]) ).
fof(f176,plain,
$false,
inference(forward_subsumption_resolution,[],[f173,f5]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN652-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.19 % Computer : n017.cluster.edu
% 0.08/0.19 % Model : x86_64 x86_64
% 0.08/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.19 % Memory : 8046.5625MB
% 0.08/0.19 % OS : Linux 6.8.0-71-generic
% 0.08/0.19 % CPULimit : 300
% 0.08/0.19 % WCLimit : 300
% 0.08/0.19 % DateTime : Mon Sep 28 16:35:21 UTC 2026
% 0.08/0.20 % CPUTime :
% 0.08/0.20 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.23 Running first-order theorem proving
% 0.08/0.23 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.73/1.16 % (3690909)Input is clausal, will run a generic CNF schedule.
% 2.73/1.16 % (3690918)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=3401255885:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 2.73/1.16 % (3690918)First to succeed.
% 2.73/1.16 % (3690918)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3690909"
% 2.73/1.16 % (3690917)lrs+10_1_sil=8000:sp=occurrence:random_seed=3196285343:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 2.73/1.16 % (3690914)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=1922645049:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 2.73/1.16 % (3690915)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=3724395206:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 2.73/1.16 % (3690916)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=252229971:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 2.73/1.16 % (3690919)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3936259054:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 2.73/1.16 % (3690920)dis-21_1_sil=8000:lcm=predicate:random_seed=1018592749:st=5:avsq=on:i=117:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/117Mi)
% 2.73/1.16 % (3690920)Also succeeded, but the first one will report.
% 2.73/1.16 % (3690919)Also succeeded, but the first one will report.
% 2.73/1.16 % (3690917)Also succeeded, but the first one will report.
% 2.73/1.16 % (3690918)Refutation found. Thanks to Tanya!
% 2.73/1.16 % SZS status Unsatisfiable for theBenchmark
% 2.73/1.16 % SZS output start Proof for theBenchmark
% See solution above
% 2.73/1.16 % (3690918)------------------------------
% 2.73/1.16 % (3690918)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.73/1.16 % (3690918)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.73/1.16 % (3690918)CaDiCaL version: 2.1.3
% 2.73/1.16 % (3690918)Termination reason: Refutation
% 2.73/1.16 % (3690918)Time elapsed: 0.003 s
% 2.73/1.16 % (3690918)Peak memory usage: 88 MB
% 2.73/1.16 % (3690918)Instructions burned: 7 (million)
% 2.73/1.16 % (3690918)------------------------------
% 2.73/1.16 % (3690918)------------------------------
% 2.73/1.16 % (3690909)Success in time 0.293 s
% 2.73/1.16 % Vampire exiting
%------------------------------------------------------------------------------